4D Topological Mass by Gauging Spin

TL;DR

This paper introduces a spin gauge field theory where spin interactions induce a gauge-invariant photon mass, offering a topological alternative mechanism for superconductivity without spontaneous symmetry breaking.

Contribution

It presents a novel spin gauge field model that generates a topological photon mass and proposes a new mechanism for superconductivity based on spin gauge interactions.

Findings

Spin interactions induce a gauge-invariant photon mass.

The model reproduces London equations for superconductivity.

Proposes a topological, symmetry-breaking-free superconductivity mechanism.

Abstract

We propose a spin gauge field theory in which the curl of a Dirac fermion current density plays the role of the pseudovector charge density. In this field-theoretic model, spin interactions are mediated by a single scalar gauge boson in its antisymmetric tensor formulation. We show that these long range spin interactions induce a gauge invariant photon mass in the one-loop effective action. The fermion loop generates a coupling between photons and the spin gauge boson, which acquires thus charge. This coupling represents also an induced, gauge invariant, topological mass for the photons, leading to the Meissner effect. The one-loop effective equations of motion for the charged spin gauge boson are the London equations. We propose thus spin gauge interactions as an alternative, topological mechanism for superconductivity in which no spontaneous symmetry breaking is involved.